BECE 1996 Mathematics (Maths) Paper 1 Objectives

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BECE PAST QUESTIONS AND ANSWERS

BECE 1996 MATHEMATICS (MATHS) PAPER 1

OBJECTIVES

1. U = {0, 1}. How many subsets have U?
A) 1 B) 2 C) 3 D) 4 E) 5

2. The following addition is done in base ten. What number represents ABC?

2 2 5

3 4 3

ABC

1000

A) 324 B) 242 C) 423 D) 432 E) 234

Use the mapping below to answer questions 3 and 4

mapping diagram

3. The value of a is
A) 0 B) ½ C) 1 D) 16 E) 32

4. What is the value of b?
A) –2 B) ¼ C) ½ D) 1 E) 2

5. Write two hundred thousand and fifty-seven in figures
A) 20,057
B) 200,057
C) 2,000,057
D) 20,000,057
E) 200,570

Diagram of a clock

What time is the clock above showing?
A) 4:30 B) 4:15 C) 3:40 D) 3:20 E) 3:04

7. Kojo, Ebo and Ama share ¢14,000.00 among themselves. Kojo had twice as much as Ebo and Ebo also had twice as much as Ama. How much did Ebo get?
A) ¢8,000.00
B) ¢6,000.00
C) ¢4,000.00
D) ¢3,000.00
E) ¢2,000.00

8. At what rate of simple interest will ¢5,000.00 amount to ¢ 7,500 if saved for 5 years?
A) 5% B) 6 ⅔ % C) 7 ½ % D) 10% E) 12 ½ %

9. Simplify ¹/3 – ½ + ²/5

A) ¹⁷/30 B) ¹³/30 C) ⁷/30 D) ^-7/30 E) ^-17/30

10. If 2^x = 8, what is the value of x?
A) 0 B) 1 C) 2 D) 3 E) 4

The relation between the Celsius (C) and Fahrenheit (F) scale of temperature is given by:
C = 95 (F - 32)

11. If C is 40, F will be
A) 104.0 B) 78.4 C) 72.0 D) 65.6 E) 40.0

12. If C is –40, find the value of F
A) –104.0 B) –78.4 C) –72.0 D) –65.6 E) –40.0

13. The ages in years of 9 children at a birthday party are:2, 3, 3, 3, 4, 5, 5, 5 and 6.
What is the mean age?
A) 3.0 B) 3.5 C) 4.0 D) 4.5 E) 5.0

14. The ages in years of 9 children at a birthday party are:
2, 3, 3, 3, 4, 5, 5, 5 and 6. What is the median age?

A) 2.0 B) 3.0 C) 3.5 D) 4.0 E) 5.0

15. The ages in years of 9 children at a birthday party are: 2, 3, 3, 3, 4, 5, 5, 5 and 6.
If a child is picked at random, what is the probability that he is 5 years old?
A) ²/9 B) ¹/3 C) ⁴/9 D) ⁵/9 E) ²/3

Question 16

Question 17

18.

Diagram

In the above diagram, |RS| = |RT|. Find a
A) 146° B) 81° C) 73° D) 65° E) 34°

19. If a² – b² = (a + b)(a – b), evaluate 9.32² – 0.68²
A) 87.32 B) 86.4 C) 74.65 D) 10.0 E) 8.64

20. Simplify 6²

2² x 3

A) 1 B) 2 C) 3 D) 6 E) 9

21. The sum of the ages of Kwaku and Kojo is 30 years. Kwaku is 4 years older than Kojo. How old is Kojo?
A) 19 B) 17 C) 13 D) 11 E) 9

22. What type of triangle is PQR?

Diagram of a triangle

A) Equilateral
B) Isosceles
C) scalene
D) right-angled
E) obtuse-angled

Use the equation y = (x + 2) (x – 2) to answer questions 23 and 24.

23. If x = -1, find y.

A) –4 B) –3 C) 3 D) 4 E) 9

24. Find the set of values of x for which y is zero.
A. {0} B. {0,2} C. {0, -2} D. {-2,2} E. {2}

Use the information below to answer questions 25 to 27

Diagram of a cylinder

In the diagram above, the cylinder has diameter 4cm and length 14cm.
(Take π = 22/7)

25. Find the circumference of the base.
A) ⁴⁴/7 cm B) ⁸⁸/7 cm C) ¹⁷⁶/7 cm D) 44 cm E) 176 cm

26. The area of the base is
A) 176cm² B) 44cm² C) 176/7 cm² D) ⁸⁸/7 cm² E) ⁴⁴/7 cm²

27. What is the volume of the cylinder?
A) 176cm³ B) 44cm³ C) 176/7 cm³ D) 88/7 cm³ E) 44/7cm³

28. A woman bought 210 oranges for ¢650.00. She sold all of them at 3 for ¢20.00. How much profit did she make?
A) ¢350.00
B) ¢450.00
C) ¢550.00
D) ¢650.00
E) ¢750.00